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Finding the Fourth Proportional to 447,109.59, 670,522.13 and 147,534.33

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Solution

The fourth proportional to 447,109.59, 670,522.13 and 147,534.33 is: 221,254.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,109.59 : 670,522.13 = 147,534.33 : x
  2. Step 2: Convert to fraction form
    447,109.59/670,522.13 = 147,534.33/x
  3. Step 3: Cross multiply
    447,109.59x = 670,522.13 × 147,534.33
  4. Step 4: Simplify right side
    447,109.59x = 98,925,033,199.72
  5. Step 5: Solve for x
    x = 98,925,033,199.72/447,109.59
  6. Step 6: Final answer
    x = 221,254.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.